Legendre spectral collocation in space and time for PDEs (Q527815)
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scientific article; zbMATH DE number 6714626
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Legendre spectral collocation in space and time for PDEs |
scientific article; zbMATH DE number 6714626 |
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Legendre spectral collocation in space and time for PDEs (English)
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12 May 2017
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It is shown that the Lagrange space-time spectral collocation method of \textit{T. Tang} and \textit{X. Xu} [``Accuracy enhancement using spectral post processing for differential equations and integral equations'', Commun. Comput. Phys. 5, 779--792 (2009)] converges spectrally in both space and time. The condition number of this method is obtained to be bounded by \(O(N^4)\). A parallel space-time spectral collocation method is also proposed. Experiments on various problems are also conducted.
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Lagrange spectral collocation method
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convergence
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numerical examples
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parallel computation
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